Karhunen-loeve Modes Obtained From Displacement And Velocity Fields: Assessments And Comparisons

S. Bellizzi; R. Sampaio

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Karhunen-loeve Modes Obtained From Displacement And Velocity Fields: Assessments And Comparisons

机译：从位移和速度场获得的Karhunen-Loeve模式：评估和比较

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The Karhunen-Loeve (KL) decomposition method can be used to expand a random process into series of deterministic functions (or KL modes) with uncorrelated random variables as the decomposition coefficients. In vibration analysis, the KL theory is classically developed from the displacement field. In this study, the displacement field, velocity field and displacement-velocity field are used with the KL theory based on an averaging operator involving time and ensemble averages. The three families of KL modes are compared and interpreted in terms of normal modes in the case of linear vibrating systems subjected to white-noise excitation.

机译：Karhunen-Loeve（KL）分解方法可用于将随机过程扩展为一系列确定性函数（或KL模式），这些函数具有不相关的随机变量作为分解系数。在振动分析中，KL理论是从位移场经典发展而来的。在这项研究中，位移场，速度场和位移速度场与KL理论一起使用，该理论基于涉及时间和整体平均值的平均算子。在遭受白噪声激发的线性振动系统的情况下，按照正常模式对KL模式的三个系列进行比较和解释。

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《Mechanical systems and signal processing》 |2009年第4期|1218-1222|共5页
作者
S. Bellizzi; R. Sampaio;
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正文语种 eng
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karhunen-loeve expansion; random vibrating systems; modal analysis;

机译：karhunen-loeve膨胀;随机振动系统;模态分析;

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Karhunen-loeve Modes Obtained From Displacement And Velocity Fields: Assessments And Comparisons

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